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Finding the Fourth Proportional to 12,661.86, 18,993.30 and 4,763.58

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Solution

The fourth proportional to 12,661.86, 18,993.30 and 4,763.58 is: 7,145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.86 : 18,993.30 = 4,763.58 : x
  2. Step 2: Convert to fraction form
    12,661.86/18,993.30 = 4,763.58/x
  3. Step 3: Cross multiply
    12,661.86x = 18,993.30 × 4,763.58
  4. Step 4: Simplify right side
    12,661.86x = 90,476,104.01
  5. Step 5: Solve for x
    x = 90,476,104.01/12,661.86
  6. Step 6: Final answer
    x = 7,145.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.